Codebook Design for SCMA-Assisted Visible Light Communication with Shot Noise

This paper studies the codebook design for sparse code multiple access (SCMA) based visible light communication (VLC) impaired by shot noise. By focusing on the typical Rician fading channels, we first derive a lower bound of the mutual information of VLC with shot noise and present a design metric called minimum normalized Euclidean distance (MNED). We then propose a novel codebook design approach for VLC including novel non-linear compensation (NLC) constellation and power scheduling matrix under the non-negative and real constraint. Simulation results demonstrate that our proposed codebook design leads to a higher MNED and thus significantly improved bit error performance over the existing SCMA codebooks for VLC systems.